US9936597B2 - Methods and apparatus for creating girih strapwork patterns - Google Patents
Methods and apparatus for creating girih strapwork patterns Download PDFInfo
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- US9936597B2 US9936597B2 US15/291,887 US201615291887A US9936597B2 US 9936597 B2 US9936597 B2 US 9936597B2 US 201615291887 A US201615291887 A US 201615291887A US 9936597 B2 US9936597 B2 US 9936597B2
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- E—FIXED CONSTRUCTIONS
- E04—BUILDING
- E04F—FINISHING WORK ON BUILDINGS, e.g. STAIRS, FLOORS
- E04F13/00—Coverings or linings, e.g. for walls or ceilings
- E04F13/07—Coverings or linings, e.g. for walls or ceilings composed of covering or lining elements; Sub-structures therefor; Fastening means therefor
- E04F13/08—Coverings or linings, e.g. for walls or ceilings composed of covering or lining elements; Sub-structures therefor; Fastening means therefor composed of a plurality of similar covering or lining elements
- E04F13/0862—Coverings or linings, e.g. for walls or ceilings composed of covering or lining elements; Sub-structures therefor; Fastening means therefor composed of a plurality of similar covering or lining elements composed of a number of elements which are identical or not, e.g. carried by a common web, support plate or grid
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- H—ELECTRICITY
- H05—ELECTRIC TECHNIQUES NOT OTHERWISE PROVIDED FOR
- H05K—PRINTED CIRCUITS; CASINGS OR CONSTRUCTIONAL DETAILS OF ELECTRIC APPARATUS; MANUFACTURE OF ASSEMBLAGES OF ELECTRICAL COMPONENTS
- H05K7/00—Constructional details common to different types of electric apparatus
- H05K7/02—Arrangements of circuit components or wiring on supporting structure
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B44—DECORATIVE ARTS
- B44C—PRODUCING DECORATIVE EFFECTS; MOSAICS; TARSIA WORK; PAPERHANGING
- B44C3/00—Processes, not specifically provided for elsewhere, for producing ornamental structures
- B44C3/12—Uniting ornamental elements to structures, e.g. mosaic plates
- B44C3/123—Mosaic constructs
-
- E—FIXED CONSTRUCTIONS
- E04—BUILDING
- E04F—FINISHING WORK ON BUILDINGS, e.g. STAIRS, FLOORS
- E04F13/00—Coverings or linings, e.g. for walls or ceilings
- E04F13/07—Coverings or linings, e.g. for walls or ceilings composed of covering or lining elements; Sub-structures therefor; Fastening means therefor
-
- E—FIXED CONSTRUCTIONS
- E04—BUILDING
- E04F—FINISHING WORK ON BUILDINGS, e.g. STAIRS, FLOORS
- E04F13/00—Coverings or linings, e.g. for walls or ceilings
- E04F13/07—Coverings or linings, e.g. for walls or ceilings composed of covering or lining elements; Sub-structures therefor; Fastening means therefor
- E04F13/08—Coverings or linings, e.g. for walls or ceilings composed of covering or lining elements; Sub-structures therefor; Fastening means therefor composed of a plurality of similar covering or lining elements
-
- E—FIXED CONSTRUCTIONS
- E04—BUILDING
- E04F—FINISHING WORK ON BUILDINGS, e.g. STAIRS, FLOORS
- E04F13/00—Coverings or linings, e.g. for walls or ceilings
- E04F13/07—Coverings or linings, e.g. for walls or ceilings composed of covering or lining elements; Sub-structures therefor; Fastening means therefor
- E04F13/08—Coverings or linings, e.g. for walls or ceilings composed of covering or lining elements; Sub-structures therefor; Fastening means therefor composed of a plurality of similar covering or lining elements
- E04F13/0871—Coverings or linings, e.g. for walls or ceilings composed of covering or lining elements; Sub-structures therefor; Fastening means therefor composed of a plurality of similar covering or lining elements having an ornamental or specially shaped visible surface
-
- E—FIXED CONSTRUCTIONS
- E04—BUILDING
- E04F—FINISHING WORK ON BUILDINGS, e.g. STAIRS, FLOORS
- E04F13/00—Coverings or linings, e.g. for walls or ceilings
- E04F13/07—Coverings or linings, e.g. for walls or ceilings composed of covering or lining elements; Sub-structures therefor; Fastening means therefor
- E04F13/21—Fastening means specially adapted for covering or lining elements
- E04F13/24—Hidden fastening means on the rear of the covering or lining elements
-
- E—FIXED CONSTRUCTIONS
- E04—BUILDING
- E04F—FINISHING WORK ON BUILDINGS, e.g. STAIRS, FLOORS
- E04F13/00—Coverings or linings, e.g. for walls or ceilings
- E04F13/07—Coverings or linings, e.g. for walls or ceilings composed of covering or lining elements; Sub-structures therefor; Fastening means therefor
- E04F13/21—Fastening means specially adapted for covering or lining elements
- E04F13/26—Edge engaging fastening means, e.g. clamps, clips or border profiles
-
- E—FIXED CONSTRUCTIONS
- E04—BUILDING
- E04F—FINISHING WORK ON BUILDINGS, e.g. STAIRS, FLOORS
- E04F13/00—Coverings or linings, e.g. for walls or ceilings
- E04F13/07—Coverings or linings, e.g. for walls or ceilings composed of covering or lining elements; Sub-structures therefor; Fastening means therefor
- E04F13/21—Fastening means specially adapted for covering or lining elements
- E04F13/30—Magnetic fastening means
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- E—FIXED CONSTRUCTIONS
- E04—BUILDING
- E04F—FINISHING WORK ON BUILDINGS, e.g. STAIRS, FLOORS
- E04F15/00—Flooring
- E04F15/02—Flooring or floor layers composed of a number of similar elements
- E04F15/02133—Flooring or floor layers composed of a number of similar elements fixed directly to an underlayer by means of magnets, hook and loop-type or similar fasteners, not necessarily involving the side faces of the flooring elements
- E04F15/02144—Flooring or floor layers composed of a number of similar elements fixed directly to an underlayer by means of magnets, hook and loop-type or similar fasteners, not necessarily involving the side faces of the flooring elements by magnets
-
- E—FIXED CONSTRUCTIONS
- E04—BUILDING
- E04F—FINISHING WORK ON BUILDINGS, e.g. STAIRS, FLOORS
- E04F19/00—Other details of constructional parts for finishing work on buildings
-
- E—FIXED CONSTRUCTIONS
- E04—BUILDING
- E04F—FINISHING WORK ON BUILDINGS, e.g. STAIRS, FLOORS
- E04F13/00—Coverings or linings, e.g. for walls or ceilings
- E04F13/07—Coverings or linings, e.g. for walls or ceilings composed of covering or lining elements; Sub-structures therefor; Fastening means therefor
- E04F13/08—Coverings or linings, e.g. for walls or ceilings composed of covering or lining elements; Sub-structures therefor; Fastening means therefor composed of a plurality of similar covering or lining elements
- E04F13/088—Coverings or linings, e.g. for walls or ceilings composed of covering or lining elements; Sub-structures therefor; Fastening means therefor composed of a plurality of similar covering or lining elements fixed directly to the wall by means of magnets, hook and loop-type or similar fasteners, not necessarily involving the side faces of the covering element
- E04F13/0883—Coverings or linings, e.g. for walls or ceilings composed of covering or lining elements; Sub-structures therefor; Fastening means therefor composed of a plurality of similar covering or lining elements fixed directly to the wall by means of magnets, hook and loop-type or similar fasteners, not necessarily involving the side faces of the covering element by magnets
-
- E—FIXED CONSTRUCTIONS
- E04—BUILDING
- E04F—FINISHING WORK ON BUILDINGS, e.g. STAIRS, FLOORS
- E04F2203/00—Specially structured or shaped covering, lining or flooring elements not otherwise provided for
- E04F2203/02—Specially structured or shaped covering, lining or flooring elements not otherwise provided for having particular shapes, other than square or rectangular, e.g. triangular, hexagonal, circular, irregular
Definitions
- the “girih” tiles are a set of five tiles that are used in various combinations to create Islamic geometric patterns for decoration of buildings in Islamic architecture.
- FIG. 1 shows a top view of the set ( 1 ) of five girih tiles in basic outline shape.
- the five shapes of the tiles are: a regular decagon ( 6 ) with ten interior angles of 144°; an elongated (irregular convex) hexagon ( 5 ) with interior angles of 72°, 144°, 144°, 72°, 144°, 144°; a bow tie (non-convex hexagon) ( 4 ) with interior angles of 72°, 72°, 216°, 72°, 72°, 216°; a regular pentagon ( 3 ) with five interior angles of 108°; and a rhombus ( 2 ) with interior angles of 72°, 108°, 72°, 108°. All sides of these tiles have the same length, and all of their angles are multiples of 36° ( ⁇ /5 radians).
- All of the tiles, except the pentagon, have bilateral (reflection) symmetry through two perpendicular lines. Some tiles have additional symmetries; for example, the decagon has tenfold rotational symmetry (rotation by 36°), and the pentagon has fivefold rotational symmetry (rotation by 72°).
- the girih tiles are each decorated with piece-wise straight lines that are typically painted on the tiles and that form a portion of a simulated weaving pattern, referred to as a “girih strapwork pattern.”
- FIG. 2 shows a top view of a set ( 7 ) of the five Girih tiles with their corresponding portions of the girih strapwork pattern.
- the respective pattern portions on the tiles include piece-wise straight lines that cross the boundaries of the tiles at the center of an edge at 54° (3 ⁇ /10) to the edge, with two intersecting lines crossing each edge of a tile.
- FIG. 3 shows the five Girih tiles of FIG. 2 placed together to form an example of the strapwork pattern.
- FIG. 4 shows a larger and more extended example of a girih strapwork pattern formed by several tiles, including mostly the hexagon tile ( 5 ′′) and the bow tie tile ( 4 ′′), with a single decagon tile ( 6 ′′) at the center.
- kits that include multiple rectilinear elongate polygonal elements having five unique shapes.
- four of the unique shapes are concave polygonal elements.
- the elements of the kit when arranged with respect to one another, form a girih strapwork pattern without requiring the use of the conventional girih tiles.
- respective elements in a kit may include bezels or boarders along longer sides (e.g., to enhance an over/under weaving effect of the girih strapwork pattern).
- one or more elements of a kit may be formed as a tray, and some of the trays may include various components or materials disposed in the tray (e.g., architectural surface materials, biological systems, various electronic components) to provide for a variety of creative designs and structural/sculptural installations for built environments, based on a girih strapwork pattern.
- one or more such trays may have beveled rims so as to appear light and thin when viewed (as part of an architectural installation involving significant “negative space” amidst a girih strapwork pattern).
- kits of elements according to the inventive concepts disclosed herein are advantageous to designers and engineers insofar as the elements in such kits are a fraction of the size of the traditional girih tiles.
- such kits of elements reduce an overall surface area of required materials to otherwise create a girih strapwork pattern.
- the elements of the kit may be equipped or combined with various ornamental components (e.g., architectural surface materials of different types) or functional components (e.g., electronic components or biological systems) according to the inventive concepts disclosed herein; in such implementations, the streamlined size of the kit elements may reduce the total number of unique parts or materials needed for an architectural installation replicating a girih strapwork pattern.
- FIG. 1 shows a top view of the five traditional girih tiles in basic outline shape.
- FIG. 2 shows a top view of the five traditional girih tiles decorated with piece-wise straight lines.
- FIG. 3 shows the five traditional girih tiles of FIG. 2 placed together to create a portion of an illustrative girih strapwork pattern.
- FIG. 4 shows a larger and more extended example of a girih strapwork pattern formed by several girih tiles taken from the set of five traditional tiles shown in FIG. 2 .
- FIG. 5 shows a top view of a kit including five rectilinear elongate polygonal elements that can be arranged with respect to one another to form a girih strapwork pattern, according to exemplary implementations of the inventive concepts disclosed herein.
- FIG. 6 shows a bezel or border along longer sides of respective elements of the kit shown in FIG. 5 , according to exemplary implementations of the inventive concepts disclosed herein.
- FIG. 7 shows the interior angles of the respective elements of the kit shown in FIG. 5 , according to exemplary implementations of the inventive concepts disclosed herein.
- FIGS. 8A-8E are top, bottom, side, top right isometric, and lower left isometric views of the element 9 of the kit shown in FIG. 5 , in which the element is formed as a tray (e.g., for holding architectural surface materials, biological systems, or various electronic components), according to exemplary implementations of the inventive concepts disclosed herein.
- a tray e.g., for holding architectural surface materials, biological systems, or various electronic components
- FIGS. 9A-9E are top, bottom, side, top right isometric, and lower left isometric views of the element 10 of the kit shown in FIG. 5 , in which the element is formed as a tray (e.g., for holding architectural surface materials, biological systems, or various electronic components), according to exemplary implementations of the inventive concepts disclosed herein.
- a tray e.g., for holding architectural surface materials, biological systems, or various electronic components
- FIGS. 10A-10E are top, bottom, side, top right isometric, and lower left isometric views of the element 11 of the kit shown in FIG. 5 , in which the element is formed as a tray (e.g., for holding architectural surface materials, biological systems, or various electronic components), according to exemplary implementations of the inventive concepts disclosed herein.
- a tray e.g., for holding architectural surface materials, biological systems, or various electronic components
- FIGS. 11A-11E are top, bottom, side, top right isometric, and lower left isometric views of the element 12 of the kit shown in FIG. 5 , in which the element is formed as a tray (e.g., for holding architectural surface materials, biological systems, or various electronic components), according to exemplary implementations of the inventive concepts disclosed herein.
- a tray e.g., for holding architectural surface materials, biological systems, or various electronic components
- FIGS. 12A-12E are top, bottom, side, top right isometric, and lower left isometric views of the element 13 of the kit shown in FIG. 5 , in which the element is formed as a tray (e.g., for holding architectural surface materials, biological systems, or various electronic components), according to exemplary implementations of the inventive concepts disclosed herein.
- a tray e.g., for holding architectural surface materials, biological systems, or various electronic components
- FIGS. 13A-B show top and isometric views of the trays shown in FIGS. 8-12 arranged in an example of a girih strapwork pattern, according to exemplary implementations of the inventive concepts disclosed herein.
- FIG. 5 shows a top view of a kit including five rectilinear elongate polygonal elements 9 , 10 , 11 , 12 , and 13 each having a unique shape, wherein the elements can be arranged with respect to one another to form a girih strapwork pattern, according to exemplary implementations of the inventive concepts disclosed herein.
- four of the elements 10 , 11 , 12 , and 13 are concave polygons (i.e., having an interior angle greater than 180 degrees).
- each of the elements has a uniform width.
- each unique shape has at least two longer sides that are parallel to each other.
- each unique shape has a first shorter side and a second shorter side constituting respective narrow ends of the unique shape, wherein the first shorter sides of all unique shapes have a first same length, and the second shorter sides of a first group of four unique shapes (e.g., elements 9 , 10 , 11 and 12 ) of the five unique shapes have a second same length.
- first shorter sides of all unique shapes have a first same length
- second shorter sides of a first group of four unique shapes (e.g., elements 9 , 10 , 11 and 12 ) of the five unique shapes have a second same length.
- FIG. 6 illustrates that, in some implementations, each element in the kit has an exposed visible surface between the two or more longer sides that are parallel to each other, and each longer side may include a bezel or a border 15 that is visibly different than the exposed visible surface.
- the bezel or border may be made of a different material than the material constituting the exposed visible surface (e.g., the exposed visible surface may be plastic or in part semiconductor components, and the bezel or border may be metallic).
- such a bezel or border enhances an over/under weaving effect of the girih strapwork pattern when the elements of the kit are arranged together.
- the first and second shorter sides of all unique shapes may not include such a bezel or border 15 to facilitate the enhanced over/under weaving effect.
- the choice can be made to not retain the bezel or border along the longer sides of elements, and to instead present a borderless, edge-to-edge surface. This may be desirable, for example, in the case of LED lighting or video display installations (discussed further below), where the bezel or border 15 could instead be presented through video content or lighting control, and added or taken away at will, with control over opacity, color, more advanced motion-graphic effects.
- FIG. 7 shows the interior angles of the respective elements of the kit shown in FIG. 5 , according to exemplary implementations of the inventive concepts disclosed herein. All interior angles of the elements are multiples of 18°; for example, the angles 17 are 72°, the angles 18 are 108°, the angles 19 are 54°, the angles 20 are 126°, the angles 21 are 144°, the angles 22 are 216°, and the angle 32 is 252°.
- FIGS. 8A-8E are top, bottom, side, top right isometric, and lower left isometric views of the element 9 of the kit shown in FIG. 5 , in which the element is formed as a tray (e.g., for holding architectural surface materials, biological systems, or various electronic components), according to exemplary implementations of the inventive concepts disclosed herein.
- FIGS. 9A-9E are top, bottom, side, top right isometric, and lower left isometric views of the element 10 of the kit shown in FIG. 5 , in which the element is formed as a tray (e.g., for holding architectural surface materials, biological systems, or various electronic components), according to exemplary implementations of the inventive concepts disclosed herein.
- FIGS. 9A-9E are top, bottom, side, top right isometric, and lower left isometric views of the element 10 of the kit shown in FIG. 5 , in which the element is formed as a tray (e.g., for holding architectural surface materials, biological systems, or various electronic components), according to exemplary implementations of the inventive
- FIGS. 10A-10E are top, bottom, side, top right isometric, and lower left isometric views of the element 11 of the kit shown in FIG. 5 , in which the element is formed as a tray (e.g., for holding architectural surface materials, biological systems, or various electronic components), according to exemplary implementations of the inventive concepts disclosed herein.
- FIGS. 11A-11E are top, bottom, side, top right isometric, and lower left isometric views of the element 12 of the kit shown in FIG. 5 , in which the element is formed as a tray (e.g., for holding architectural surface materials, biological systems, or various electronic components), according to exemplary implementations of the inventive concepts disclosed herein.
- FIGS. 11A-11E are top, bottom, side, top right isometric, and lower left isometric views of the element 12 of the kit shown in FIG. 5 , in which the element is formed as a tray (e.g., for holding architectural surface materials, biological systems, or various electronic components), according to exemplary implementations of the inventive
- FIG. 12A-12E are top, bottom, side, top right isometric, and lower left isometric views of the element 13 of the kit shown in FIG. 5 , in which the element is formed as a tray (e.g., for holding architectural surface materials, biological systems, or various electronic components), according to exemplary implementations of the inventive concepts disclosed herein.
- a tray e.g., for holding architectural surface materials, biological systems, or various electronic components
- the trays shown in the various views of FIGS. 8-12 may be essentially flat shallow containers including a rim around a perimeter of the element.
- the rims of the trays may be beveled rims 23 (e.g., sharply beveled back at 35.264°) so as to appear very light and ‘paper thin’ from a front view; in some instance, this enables maximum-width viewing angle of the depopulated negative space between respective trays arranged with respect to one another to form a girih strapwork pattern.
- trays could be designed to have no bevel at all and have essentially straight rims, for a more solid, extruded look.
- the trays may have one or more holes 25 cut out on a rear surface 24 of the tray for cables to pass through from internal electronics (after which strain-relief could be added on the outside of the tray to secure it).
- the trays may include one or more magnets 26 on the rear surface 24 for coupling respective strays to a support structure for the girih strapwork pattern.
- one or more of the elements of a kit may be configured as a tray (e.g., according to the concepts disclosed above in connection with FIGS. 8-12 ) to support a variety of ornamental or functional components disposed in or on the tray.
- a tray e.g., according to the concepts disclosed above in connection with FIGS. 8-12
- such components may include, and are not limited to: architectural surface materials such as wood, glass, or metal; biological systems that can support living plant life; and electronic components such as photovoltaics/solar panels, video display components (LED, LCD, OLED, etc.), lighting components (LED, incandescent, etc.), audio speakers, cameras, various types of sensors (e.g., infrared sensors, accelerometers), printed circuit boards and slim and/or interchangeable electronic sub-components (e.g., power supplies, data cards).
- sensors e.g., infrared sensors, accelerometers
- printed circuit boards e.g., slim and/or interchangeable electronic sub-components (
- FIGS. 13A-B show top and isometric views of a plurality of such trays arranged in an example of a girih strapwork pattern, according to exemplary implementations of the inventive concepts disclosed herein.
- inventive embodiments are presented by way of example only and that, within the scope of the appended claims and equivalents thereto, inventive embodiments may be practiced otherwise than as specifically described and claimed.
- inventive embodiments of the present disclosure are directed to each individual feature, system, article, material, kit, and/or method described herein.
- a reference to “A and/or B”, when used in conjunction with open-ended language such as “comprising” can refer, in one embodiment, to A only (optionally including elements other than B); in another embodiment, to B only (optionally including elements other than A); in yet another embodiment, to both A and B (optionally including other elements); etc.
- the phrase “at least one,” in reference to a list of one or more elements, should be understood to mean at least one element selected from any one or more of the elements in the list of elements, but not necessarily including at least one of each and every element specifically listed within the list of elements and not excluding any combinations of elements in the list of elements.
- This definition also allows that elements may optionally be present other than the elements specifically identified within the list of elements to which the phrase “at least one” refers, whether related or unrelated to those elements specifically identified.
- “at least one of A and B” can refer, in one embodiment, to at least one, optionally including more than one, A, with no B present (and optionally including elements other than B); in another embodiment, to at least one, optionally including more than one, B, with no A present (and optionally including elements other than A); in yet another embodiment, to at least one, optionally including more than one, A, and at least one, optionally including more than one, B (and optionally including other elements); etc.
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- Engineering & Computer Science (AREA)
- Architecture (AREA)
- Civil Engineering (AREA)
- Structural Engineering (AREA)
- Microelectronics & Electronic Packaging (AREA)
- Casings For Electric Apparatus (AREA)
- Packaging Frangible Articles (AREA)
- Details Of Rigid Or Semi-Rigid Containers (AREA)
- Finishing Walls (AREA)
- Purses, Travelling Bags, Baskets, Or Suitcases (AREA)
- Apparatus Associated With Microorganisms And Enzymes (AREA)
- Telephone Set Structure (AREA)
Priority Applications (2)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
US15/291,887 US9936597B2 (en) | 2015-05-28 | 2016-10-12 | Methods and apparatus for creating girih strapwork patterns |
US15/942,623 US10555429B2 (en) | 2015-05-28 | 2018-04-02 | Methods and apparatus for creating girih strapwork patterns |
Applications Claiming Priority (3)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
US201562167781P | 2015-05-28 | 2015-05-28 | |
PCT/US2016/035115 WO2016191769A1 (fr) | 2015-05-28 | 2016-05-31 | Procédés et appareil pour créer des motifs d'entrelacs girih |
US15/291,887 US9936597B2 (en) | 2015-05-28 | 2016-10-12 | Methods and apparatus for creating girih strapwork patterns |
Related Parent Applications (1)
Application Number | Title | Priority Date | Filing Date |
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PCT/US2016/035115 Continuation WO2016191769A1 (fr) | 2015-05-28 | 2016-05-31 | Procédés et appareil pour créer des motifs d'entrelacs girih |
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Application Number | Title | Priority Date | Filing Date |
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US15/942,623 Continuation US10555429B2 (en) | 2015-05-28 | 2018-04-02 | Methods and apparatus for creating girih strapwork patterns |
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US20170034940A1 US20170034940A1 (en) | 2017-02-02 |
US9936597B2 true US9936597B2 (en) | 2018-04-03 |
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US15/942,623 Expired - Fee Related US10555429B2 (en) | 2015-05-28 | 2018-04-02 | Methods and apparatus for creating girih strapwork patterns |
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Country Status (11)
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US (2) | US9936597B2 (fr) |
EP (1) | EP3303728A4 (fr) |
JP (1) | JP6853241B2 (fr) |
KR (1) | KR20180020990A (fr) |
CN (1) | CN107849847B (fr) |
CA (1) | CA3025683A1 (fr) |
HK (1) | HK1253510A1 (fr) |
MA (1) | MA43117A (fr) |
SA (1) | SA517390413B1 (fr) |
TN (1) | TN2017000491A1 (fr) |
WO (1) | WO2016191769A1 (fr) |
Cited By (2)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US10555429B2 (en) | 2015-05-28 | 2020-02-04 | John Frattalone | Methods and apparatus for creating girih strapwork patterns |
USD897118S1 (en) * | 2018-09-14 | 2020-09-29 | Robert Earl Dewar | Sheet material |
Citations (3)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US4343471A (en) * | 1981-06-22 | 1982-08-10 | Calvert Murray B | Pentagonal puzzle |
US6309716B1 (en) * | 1999-09-24 | 2001-10-30 | Adrian Fisher | Tessellation set |
US20140056003A1 (en) * | 2012-08-20 | 2014-02-27 | John Frattalone | Modular video and lighting displays |
Family Cites Families (5)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
GB1548164A (en) * | 1975-06-25 | 1979-07-04 | Penrose R | Set of tiles for covering a surface |
US5007220A (en) * | 1987-04-09 | 1991-04-16 | Haresh Lalvani | Non-periodic and periodic layered space frames having prismatic nodes |
CN2905509Y (zh) * | 2006-05-17 | 2007-05-30 | 徐温金钗 | 压克力缀饰 |
CN201395914Y (zh) * | 2009-04-24 | 2010-02-03 | 天津港保税区佳辰国际贸易有限公司 | 矿盐砖 |
WO2016191769A1 (fr) | 2015-05-28 | 2016-12-01 | Frattalone John | Procédés et appareil pour créer des motifs d'entrelacs girih |
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2016
- 2016-05-31 WO PCT/US2016/035115 patent/WO2016191769A1/fr active Application Filing
- 2016-05-31 CN CN201680043399.9A patent/CN107849847B/zh active Active
- 2016-05-31 MA MA043117A patent/MA43117A/fr unknown
- 2016-05-31 KR KR1020177037360A patent/KR20180020990A/ko unknown
- 2016-05-31 TN TNP/2017/000491A patent/TN2017000491A1/en unknown
- 2016-05-31 EP EP16800860.5A patent/EP3303728A4/fr not_active Withdrawn
- 2016-05-31 JP JP2018514944A patent/JP6853241B2/ja active Active
- 2016-05-31 CA CA3025683A patent/CA3025683A1/fr not_active Abandoned
- 2016-10-12 US US15/291,887 patent/US9936597B2/en active Active
-
2017
- 2017-11-26 SA SA517390413A patent/SA517390413B1/ar unknown
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2018
- 2018-04-02 US US15/942,623 patent/US10555429B2/en not_active Expired - Fee Related
- 2018-09-20 HK HK18112115.5A patent/HK1253510A1/zh unknown
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Cited By (2)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US10555429B2 (en) | 2015-05-28 | 2020-02-04 | John Frattalone | Methods and apparatus for creating girih strapwork patterns |
USD897118S1 (en) * | 2018-09-14 | 2020-09-29 | Robert Earl Dewar | Sheet material |
Also Published As
Publication number | Publication date |
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JP2018524216A (ja) | 2018-08-30 |
TN2017000491A1 (en) | 2019-04-12 |
CN107849847A (zh) | 2018-03-27 |
KR20180020990A (ko) | 2018-02-28 |
EP3303728A4 (fr) | 2019-04-10 |
EP3303728A1 (fr) | 2018-04-11 |
US20190082550A1 (en) | 2019-03-14 |
CN107849847B (zh) | 2021-01-05 |
MA43117A (fr) | 2018-09-05 |
WO2016191769A1 (fr) | 2016-12-01 |
CA3025683A1 (fr) | 2016-12-01 |
US20170034940A1 (en) | 2017-02-02 |
SA517390413B1 (ar) | 2022-05-24 |
JP6853241B2 (ja) | 2021-03-31 |
HK1253510A1 (zh) | 2019-06-21 |
US10555429B2 (en) | 2020-02-04 |
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